A028549 Character of extremal vertex operator algebra of rank 22.

1, 0, 0, 5192, 85987, 898480, 6791048, 41648904, 218476203, 1016380464, 4290665368, 16714067968, 60822086204, 208730040992, 680578153640, 2120990121096, 6348782759231, 18327348645584, 51197825318992, 138806809095064, 366154573652582, 941793034051584

Offset

0,4

References

G. Höhn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Mathematische Schriften, Vol. 286 (1996), 1-85.

Links

Table of n, a(n) for n=0..21.

G. Höhn (gerald(AT)math.ksu.edu), Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Doctoral Dissertation, Univ. Bonn, Jul 15 1995 (pdf, ps).

Formula

G.f.: x^(2*r/24) * (B(x)^(2*r) - 2*r*B(x)^(2*r-24) - r*(47-2*r)*B(x)^(2*r-48) where B(x) = x^(-1/24) * Product_{k>=0} (1+x^(2*k+1)) = x^(-1/24) * A000700 and r = 22. - Sean A. Irvine, Feb 29 2020

Crossrefs

Cf. A000700.

Sequence in context: A066167 A247265 A252050 * A209811 A262909 A093071

Adjacent sequences: A028546 A028547 A028548 * A028550 A028551 A028552

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Feb 29 2020

Status

approved